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There are fifty students in a class. In a 100 marks exam, 20 students scored less than 30 marks, 5 students scored more than 70 marks and the remaining scored between 30 and 70 marks. If passing score is 55 marks and 40% students have passed the test, what is the percentage of students who scored between 55 and 70?
A) 45%
B) 40%
C)35%
D) 30%
A) 45%
B) 40%
C)35%
D) 30%
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14 Jul 2017, 07:44
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safeer
There are fifty students in a class. In a 100 marks exam, 20 students scored less than 30 marks, 5 students scored more than 70 marks and the remaining scored between 30 and 70 marks. If passing score is 55 marks and 40% students have passed the test, what is the percentage of students who scored between 55 and 70?
A) 45%
B) 40%
C)35%
D) 30%
A) 45%
B) 40%
C)35%
D) 30%
Total number of Students \(= 50\)
Number of Students who got less than \(30\) marks \(= 20\)
Number of Students who got more than \(70\) marks \(= 5\)
Therefore Total number of Students who got less than \(30\) and more than \(70\) marks \(= 20 + 5 = 25\)
Given, the remaining Students scored between \(30\) and \(70\) marks. ie; \(= 50 - 25 = 25\)
Passing score is \(55\) marks and \(40\)% students have passed the test \(= 40\)% of \(50 => \frac{40}{100} * 50 = 20\)
Therefore \(20\) Students passed with \(55\) marks and above.
We need to find the percentage of students who scored between \(55\) and \(70\).
\(5\) Students have scores more than \(70\) marks.
Therefore Students who scored between \(55\) and \(70 = 20 - 5 = 15\)
Let the unknown percentage be \(= x\)
\(15\) is \(x\) % of \(50\)
\(15 = \frac{x}{100} * 50\)
\(x = \frac{15*100}{50} = 30\)%
Answer (D)...
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14 Jul 2017, 08:34
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safeer
There are fifty students in a class. In a 100 marks exam, 20 students scored less than 30 marks, 5 students scored more than 70 marks and the remaining scored between 30 and 70 marks. If passing score is 55 marks and 40% students have passed the test, what is the percentage of students who scored between 55 and 70?
A) 45%
B) 40%
C)35%
D) 30%
A) 45%
B) 40%
C)35%
D) 30%
Bunuel : could you please add one more option with 50% to make it a GMAT like question please???
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
